Fusion frames and distributed processing

Aldroubi, 2004, Wavelets on irregular grids with arbitrary dilation matrices and frame atoms for L2(Rd), Appl. Comput. Harmon. Anal., 17, 119, 10.1016/j.acha.2004.03.005 Aldroubi, 2000, Beurling–Landau-type theorems for non-uniform sampling in shift invariant spline spaces, J. Fourier Anal. Appl., 6, 93, 10.1007/BF02510120 Asgari, 2005, Frames and bases of subspaces in Hilbert spaces, J. Math. Anal. Appl., 308, 541, 10.1016/j.jmaa.2004.11.036 Benedetto, 2006, Sigma–Delta quantization and finite frames, IEEE Trans. Inform. Theory, 52, 1990, 10.1109/TIT.2006.872849 Bodmann, 2007, Optimal linear transmission by loss-insensitive packet encoding, Appl. Comput. Harmon. Anal., 22, 274, 10.1016/j.acha.2006.07.003 B.G. Bodmann, D.W. Kribs, V.I. Paulsen, Decoherence-insensitive quantum communications by optimal C∗-encoding, preprint, 2006 Bölcskei, 1998, Frame-theoretic analysis of oversampled filter banks, IEEE Trans. Signal Process., 46, 3256, 10.1109/78.735301 Candès, 2004, New tight frames of curvelets and optimal representations of objects with piecewise C2 singularities, Comm. Pure Appl. Math., 56, 216 Casazza, 2004, Custom building finite frames, vol. 345, 61 Casazza, 1997, Perturbation of operators and applications to frame theory, J. Fourier Anal. Appl., 3, 543, 10.1007/BF02648883 Casazza, 2000, Frames for Banach spaces, vol. 247, 149 Casazza, 2003, Equal-norm tight frames with erasures, Adv. Comput. Math., 18, 387, 10.1023/A:1021349819855 Casazza, 2004, Frames of subspaces, vol. 345, 87 Casazza, 2007, A generalization of Gram–Schmidt orthogonalization generating all Parseval frames, Adv. Comput. Math., 27, 65, 10.1007/s10444-005-7478-1 Casazza, 2006, The Kadison–Singer Problem in mathematics and engineering, Proc. Natl. Acad. Sci., 103, 2032, 10.1073/pnas.0507888103 Christensen, 2003 Craig, 2006, Geophone array formation and semblance evaluation, Geophysics, 71, 1, 10.1190/1.2159055 Daubechies, 1992 Fornasier, 2004, Quasi-orthogonal decompositions of structured frames, J. Math. Anal. Appl., 289, 180, 10.1016/j.jmaa.2003.09.041 P. Gavruta, On the duality of frames in Hilbert spaces, preprint, 2007 Gröchenig, 1993, Acceleration of the frame algorithm, IEEE Trans. Signal Process., 41, 3331, 10.1109/78.258077 Heath, 2002, Linear dispersion codes for MIMO systems based on frame theory, IEEE Trans. Signal Process., 50, 2429, 10.1109/TSP.2002.803325 2005 G. Kutyniok, A. Pezeshki, A.R. Calderbank, T. Liu, Robust dimension reduction, fusion frames and Grassmannian packings, preprint, 2007 Li, 1995, On general frame decompositions, Numer. Funct. Anal. Optim., 16, 1181, 10.1080/01630569508816668 Mallat, 1998 C.J. Rozell, D.H. Johnson, Analysis of noise reduction in redundant expansions under distributed processing requirements, in: International Conference on Acoustics, Speech, and Signal Processing, Philadelphia, PA, 2005 Rozell, 2006, Analyzing the robustness of redundant population codes in sensory and feature extraction systems, Neurocomputing, 69, 1215, 10.1016/j.neucom.2005.12.079 C.J. Rozell, I.N. Goodman, D.H. Johnson, Feature-based information processing with selective attention, in: International Conference on Acoustics, Speech, and Signal Processing, Toulouse, France, 2006 Strohmer, 2003, Grassmannian frames with applications to coding and communication, Appl. Comput. Harmon. Anal., 14, 257, 10.1016/S1063-5203(03)00023-X Sun, 2006, G-frames and G-Riesz bases, J. Math. Anal. Appl., 322, 437, 10.1016/j.jmaa.2005.09.039 Sun, 2007, Stability of G-frames, J. Math. Anal. Appl., 326, 858, 10.1016/j.jmaa.2006.03.043 Toselli, 2005, Domain Decomposition Methods—Algorithms and Theory, vol. 34 Waltz, 1990